What is the derivative of 6sqrt(x)-3x ?

The derivative of 6sqrt(x)-3x is 3/(sqrt(x))-3

What is the first derivative of 6sqrt(x)-3x ?

The first derivative of 6sqrt(x)-3x is 3/(sqrt(x))-3

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\frac{d}{d x} (6 x - 3 x)

\frac{3}{x} - 3

Solution steps

\frac{d}{d x} (6 x - 3 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x) - \frac{d}{d x} (3 x)

\frac{d}{d x} (6 x) = \frac{3}{x}

\frac{d}{d x} (3 x) = 3

= \frac{3}{x} - 3

What is the derivative of 6sqrt(x)-3x ?
The derivative of 6sqrt(x)-3x is 3/(sqrt(x))-3
What is the first derivative of 6sqrt(x)-3x ?
The first derivative of 6sqrt(x)-3x is 3/(sqrt(x))-3